34152148809 has 27 divisors (see below), whose sum is σ = 49732116213. Its totient is φ = 22584405024.

The previous prime is 34152148781. The next prime is 34152148871. The reversal of 34152148809 is 90884125143.

The square root of 34152148809 is 184803.

It is a perfect power (a square), and thus also a powerful number.

34152148809 is a `hidden beast` number, since 3 + 4 + 1 + 521 + 48 + 80 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1108809 + 34151040000 = 1053^2 + 184800^2 .

It is not a de Polignac number, because 34152148809 - 2⁹ = 34152148297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34152148309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126959527 + ... + 126959795.

Almost surely, 2^34152148809 is an apocalyptic number.

34152148809 is the 184803-rd square number.

34152148809 is the 92402-nd centered octagonal number.

It is an amenable number.

34152148809 is a deficient number, since it is larger than the sum of its proper divisors (15579967404).

34152148809 is an frugal number, since it uses more digits than its factorization.

34152148809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 34152148809 in words is "thirty-four billion, one hundred fifty-two million, one hundred forty-eight thousand, eight hundred nine".